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Finding the Fourth Proportional to 3,648.97, 5,474.36 and 1,051.89

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Solution

The fourth proportional to 3,648.97, 5,474.36 and 1,051.89 is: 1,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.97 : 5,474.36 = 1,051.89 : x
  2. Step 2: Convert to fraction form
    3,648.97/5,474.36 = 1,051.89/x
  3. Step 3: Cross multiply
    3,648.97x = 5,474.36 × 1,051.89
  4. Step 4: Simplify right side
    3,648.97x = 5,758,424.54
  5. Step 5: Solve for x
    x = 5,758,424.54/3,648.97
  6. Step 6: Final answer
    x = 1,578.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.